1/3r+1=2/3r-2

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Solution for 1/3r+1=2/3r-2 equation: 



1/3r+1=2/3r-2

We move all terms to the left:

1/3r+1-(2/3r-2)=0



Domain of the equation: 3r!=0

r!=0/3

r!=0

r∈R





Domain of the equation: 3r-2)!=0

r∈R



We get rid of parentheses

1/3r-2/3r+2+1=0

We multiply all the terms by the denominator


2*3r+1*3r+1-2=0

We add all the numbers together, and all the variables

2*3r+1*3r-1=0

Wy multiply elements

6r+3r-1=0

We add all the numbers together, and all the variables

9r-1=0

We move all terms containing r to the left, all other terms to the right

9r=1

r=1/9

r=1/9

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